Wy. Tan et Sc. Tang, A GENERAL MARKOV MODEL OF THE HIV EPIDEMIC IN POPULATIONS INVOLVING BOTH SEXUAL CONTACT AND IV DRUG-USE, Mathematical and computer modelling, 19(10), 1994, pp. 83-132
In this paper, we develop a general Markov model for the HIV epidemic
involving both sexual contact and IV drug use. For this model, we deri
ve the probability generating function of the HIV epidemic and derive
equations for the means, the variances and the covariances of the numb
ers of susceptible people, latent people, infective people and AIDS ca
ses. By using these equations, we generate some simulation studies to
illustrate effects of some risk factors on the mean HIV behavior and o
n the variances and the covariances of the numbers of latent people, i
nfective people and AIDS cases.